25 ! solve: negative 1/2 x + 2 = −x + 7 select one: a. 10 b. 5 over 2 c. 2 over 5 d. 20

A. 10

−1/2x+2=−x+7 Step 1

−1/2x+2+x=−x+7+x Step 2

1/2x+2=7 Step 3

1/2x+2−2=7−2 Step 4

1/2x=5 Step 5

2*(1/2x)=(2)*(5) Step 6

ANSWER: x = 10 Step 7

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752